You might have to settle for a "two screens that meet in the middle when unfolded" style folding phone. They have different problems, but screen hardness is something they can do, since no actual folding happens to the screen.

They do have good battery life, I have to be playing a GPS game at 120 hz outdoors and thus full brightness and outside ideal operating temperature for the battery to get my fold 4 under 4 hours of playtime. Using it normally, like spending half my day on it playing regular games at reasonable settings, and the other half browsing news on lemmy and other "social media news aggregates", I am still around 30% or so by bed time. On a day where I didn't game much, I could just not charge it do that again the next day.

Price is definitely where they could do with some work. But I got mine open box, so half price. Was about equal to contemporary standard smart phones then. At least when they are not open box.